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Base Radius of Cone given Volume Formula

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Total Surface Area and Slant Height Formula

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Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone. Check FAQs

r Base = \sqrt{\frac{3 \cdot V}{π \cdot h}}

r_Base - Base Radius of Cone?V - Volume of Cone?h - Height of Cone?π - Archimedes' constant?

Base Radius of Cone given Volume Example

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Here is how the Base Radius of Cone given Volume equation looks like with Values.

Here is how the Base Radius of Cone given Volume equation looks like with Units.

Here is how the Base Radius of Cone given Volume equation looks like.

9.9656 = \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5}}

9.9656m = \sqrt{\frac{3 \cdot 520m³}{3.1416 \cdot 5m}}

9.9656 = \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5}}

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Base Radius of Cone given Volume Solution

Follow our step by step solution on how to calculate Base Radius of Cone given Volume?

FIRST Step Consider the formula

r Base = \sqrt{\frac{3 \cdot V}{π \cdot h}}

Next Step Substitute values of Variables

∴

r Base = \sqrt{\frac{3 \cdot 520m³}{π \cdot 5m}}

Next Step Substitute values of Constants

∴

r Base = \sqrt{\frac{3 \cdot 520m³}{3.1416 \cdot 5m}}

Next Step Prepare to Evaluate

∴

r Base = \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5}}

Next Step Evaluate

∴

r Base = 9.96557497033376m

LAST Step Rounding Answer

∴

r Base = 9.9656m

Base Radius of Cone given Volume Formula Elements

Variables

Constants

Functions

Base Radius of Cone

Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Cone

Volume of Cone

Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cone

Height of Cone

Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cone

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Base Radius of Cone

Go Base Radius of Cone given Base Area

r Base = \sqrt{\frac{A Base}{π}}

Go Base Radius of Cone given Total Surface Area and Slant Height

r Base = \frac{1}{2} \cdot (\sqrt{{h Slant}^{2} + \frac{4 \cdot TSA}{π}} - h Slant)

Go Base Radius of Cone given Lateral Surface Area and Slant Height

r Base = \frac{LSA}{π \cdot h Slant}

How to Evaluate Base Radius of Cone given Volume?

Base Radius of Cone given Volume evaluator uses Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone)) to evaluate the Base Radius of Cone, Base Radius of Cone given Volume formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone, and calculated using the volume of the Cone. Base Radius of Cone is denoted by r_Base symbol.

How to evaluate Base Radius of Cone given Volume using this online evaluator? To use this online evaluator for Base Radius of Cone given Volume, enter Volume of Cone (V) & Height of Cone (h) and hit the calculate button.

FAQs on Base Radius of Cone given Volume

What is the formula to find Base Radius of Cone given Volume?

The formula of Base Radius of Cone given Volume is expressed as Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone)). Here is an example- 9.965575 = sqrt((3*520)/(pi*5)).

How to calculate Base Radius of Cone given Volume?

With Volume of Cone (V) & Height of Cone (h) we can find Base Radius of Cone given Volume using the formula - Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Base Radius of Cone?

Here are the different ways to Calculate Base Radius of Cone-

Base Radius of Cone=sqrt(Base Area of Cone/pi)
Base Radius of Cone=1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)
Base Radius of Cone=Lateral Surface Area of Cone/(pi*Slant Height of Cone)

Can the Base Radius of Cone given Volume be negative?

No, the Base Radius of Cone given Volume, measured in Length cannot be negative.

Which unit is used to measure Base Radius of Cone given Volume?

Base Radius of Cone given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Base Radius of Cone given Volume can be measured.

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Base Radius of Cone given Volume Formula

​GoBase Radius of Cone given Base Area Formula

​GoBase Radius of Cone given Total Surface Area and Slant Height Formula

Base Radius of Cone given Volume Example

Base Radius of Cone given Volume Solution

Base Radius of Cone given Volume Formula Elements

Other Formulas to find Base Radius of Cone

How to Evaluate Base Radius of Cone given Volume?

FAQs on Base Radius of Cone given Volume

Variable Name

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Total Surface Area and Slant Height Formula